#!/usr/bin/python3
"Generate the 3×3 magic squares as simply as possible."

def permutations(items):
    if len(items) == 0:
        yield ()
        return

    for i in range(len(items)):
        for permutation in permutations(items[:i] + items[i+1:]):
            yield (items[i],) + permutation

def is_magic(p):
    mods =  [p[:3], p[3:6], p[6:], p[::3], p[1::3], p[2::3], p[::4], p[2:8:2]]
    sums = [sum(xs) for xs in mods]
    return all(sumi == sums[0] for sumi in sums)
    
if __name__ == '__main__':
    [print(p) for p in permutations(list(range(1, 10))) if is_magic(p)]